What is the Least Common Multiple of 80850 and 80868?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 80850 and 80868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80850 and 80868, than apply into the LCM equation.

GCF(80850,80868) = 6
LCM(80850,80868) = ( 80850 × 80868) / 6
LCM(80850,80868) = 6538177800 / 6
LCM(80850,80868) = 1089696300

Least Common Multiple (LCM) of 80850 and 80868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80850 and 80868. First we will calculate the prime factors of 80850 and 80868.

Prime Factorization of 80850

Prime Factorization of 80868

Now multiplying the highest exponent prime factors to calculate the LCM of 80850 and 80868.

LCM(80850,80868) = 2² × 3¹ × 5² × 7² × 11¹ × 23¹ × 293¹
LCM(80850,80868) = 1089696300